Do you use anymore in the meaning of "no longer" only in negative or interrogative sentences? Will it be grammatical, if I use that adverb in the affirmative sentence?
I see no possibility of managing this problem of climate change anymore.
In Standard use (whatever that is), any is a Negative Polarity Item—it is used only in negative contexts.
Note, however, that your example I see no possibility of managing this problem of climate change anymore provides that negative context: you speak of no possibility, and that licenses any more (or anymore).
In dialect use, however, the temporal expression any more is occasionally used in positive contexts, with the sense of being the antonym of the temporal expression not any more, meaning "no longer". It has thus two possible senses. If the ordinary negative
He doesn't go there any more.
means He used to go there but now he does not, the positive version
He's going there any more†
may mean either
- He used to go there and he still does. (This was the sense when I heard the expression, and I think the sense in Yohann V.'s Lawrence quotation.)
- He didn't go there in the past, but now he does. (This is the sense in Yohann V.'s Pynchon quotation.)
Only the context can inform you which is meant.
But both are non-Standard uses; avoid them.
† This is in fact an actual utterance which I heard in the Missouri Ozarks in 1982 and remembered because it was the first time I had ever encountered positive any more.
While you are using a negative ("no possibility") and talking about a negative sentence, it is possible to use it in both forms under conditions. Wiktionary gives three possible usages :
any more (not comparable)
- (in negative or interrogative constructions) From a given time onwards; longer, again.
They don't make repairable radios any more.
- (colloquial, chiefly Northern Ireland, US, in positive constructions) Now, from now on.
1920, DH Lawrence, Women in Love:
‘Quite absurd,’ he said. ‘Suffering bores me, any more.’
2009, Thomas Pynchon, Inherent Vice, Vintage 2010, page 268:
He's no longer the wholesome Chamber of Commerce bigshot we used to know in the olden days, Doc, he's bad shit anymore.
- To a greater extent (than).
I don't like Braques any more than I like Picasso.
Yes, you can use it exactly like your example. See http://www.thefreedictionary.com/anymore for an example very much like yours.